Neck

And now he has the plague up to here!

Cut throat

What marks on her neck?

Where I left off, we were just essentially chugging through this fairly hairy derivative this definite integral this antiderivative.

So let's see, I've simplified it to 40 pi, and what's minus 8 times 4 is 32 pi over 3.

So if I put everything over 6 20 pi over 6 is the same thing is 120 pi over 6, and then minus 4 pi over 3, if I put it over 6 it becomes 8 pi over 6, right?

And then this is more of a review of fractions than anything else and then if I want to put it over 6, I just double it.

What do you have on your neck?

On his neck.

Horse's neck.

Mmm. Right on his neck.

That neck.

Neck (external findings)

The blood had flown violently to his neck, which was burning him.

It takes my brain a little while to come up with the next term.

So we evaluated at 2 and now we have to subtract this evaluated at 1.

This is really a hairy problem.

Let's see, 16 pi plus 4 pi, that's 20 pi.

So let's get a common denominator for this part right here.

So this whole term that we're going to have to subtract from this term is equal to 120 minus 11, right?

So that one, if we put 3 common denominator, that's 120 pi over 3 minus 32 pi over 3.

So that equals 88 pi over 3, and remember, that's just the top part.

So if you go over a denominator of 6 88 pi over 3 let's see.

Which isn't as hairy as it seemed when we started the problem.

It's kind of a wide ring that has the upper part of the ring and the inner part of the ring are hard edges.

Especially and what was weird about this, is when it was rotated around the line y is equal to minus 2.

These are about as difficult as these volume of revolution problems get.

He is a daredevil.

My neck hurts.

He was bleeding from his neck.

Here. Why don't you go buy yourself a neck?

So the monkey is now making a coo sound.

Is there anything the matter with your throat?

You can wash your neck, too.

A tender spot, the throat.

Put it about her neck.

His neck's injured.

Neck broken.

Up to your neck, I suppose.

Rallidae

Gallirallus sylvestris (I)

Cuban parrot

Aardwolf

He's deep in debt.